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---
license: mit
tags:
- pytorch
- safetensors
- threshold-logic
- neuromorphic
---
# threshold-gray2binary
4-bit Gray code to binary converter.
## Function
gray2binary(G3, G2, G1, G0) -> (B3, B2, B1, B0)
Conversion formulas:
- B3 = G3
- B2 = G3 XOR G2
- B1 = G3 XOR G2 XOR G1
- B0 = G3 XOR G2 XOR G1 XOR G0
## Example Conversions
| Gray | Binary |
|------|--------|
| 0000 | 0000 (0) |
| 0001 | 0001 (1) |
| 0011 | 0010 (2) |
| 0010 | 0011 (3) |
| 0110 | 0100 (4) |
| 0111 | 0101 (5) |
| 0101 | 0110 (6) |
| 0100 | 0111 (7) |
## Architecture
Cascade XOR structure with shared intermediate results:
```
G3 ──────────────────────────────────────────► B3
G3,G2 ─► [XOR] ─► X1 ────────────────────────► B2
X1,G1 ─► [XOR] ─► X2 ──────────► B1
X2,G0 ─► [XOR] ──► B0
```
Each XOR uses 3 neurons (OR, NAND, AND) with mag-7 weights.
## Parameters
| | |
|---|---|
| Inputs | 4 |
| Outputs | 4 |
| Neurons | 10 |
| Layers | 6 |
| Parameters | 46 |
| Magnitude | 33 |
## Usage
```python
from safetensors.torch import load_file
import torch
w = load_file('model.safetensors')
# Convert gray code 0110 (which is binary 4)
# Full implementation in model.py
```
## License
MIT
|